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Simplifying 6z + 10 + -3z = 7 + 2z + 9 Reorder the terms: 10 + 6z + -3z = 7 + 2z + 9 Combine like terms: 6z + -3z = 3z 10 + 3z = 7 + 2z + 9 Reorder the terms: 10 + 3z = 7 + 9 + 2z Combine like terms: 7 + 9 = 16 10 + 3z = 16 + 2z Solving 10 + 3z = 16 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 10 + 3z + -2z = 16 + 2z + -2z Combine like terms: 3z + -2z = 1z 10 + 1z = 16 + 2z + -2z Combine like terms: 2z + -2z = 0 10 + 1z = 16 + 0 10 + 1z = 16 Add '-10' to each side of the equation. 10 + -10 + 1z = 16 + -10 Combine like terms: 10 + -10 = 0 0 + 1z = 16 + -10 1z = 16 + -10 Combine like terms: 16 + -10 = 6 1z = 6 Divide each side by '1'. z = 6 Simplifying z = 6
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